Paper Citation Record · LEDGER

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2505.24058.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.24058 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:46:03.731841Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:31:55.24221+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

39 of 39 outbound references displayed

verified exact0
verified fuzzy22
unresolved16
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e8973daa-ee5c-4598-8b24-69f8d7a2867f · outbound

This paper cites Benamou and Y.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Benamou and Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:09.841785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 87192e4c-3fa5-4509-9337-e40b8337d36b · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:09.715845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation b34b909c-9cf6-425a-962e-b2694ce61c7f · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:09.585116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation c7a35e42-0ee0-45a5-b46b-64a37af55afd · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:09.458968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation d0467cb5-5e35-4f6d-9705-2036673621a2 · outbound

This paper cites Datta.Electronic Transport in Mesoscopic Systems.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Datta.Electronic Transport in Mesoscopic Systems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:09.323925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 35939415-a22c-4640-b7ce-29a4f558c6cd · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:09.195759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 2892d623-0f12-4811-afb2-72ee47f3687d · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:09.070553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 43dc4731-edfa-4276-bb07-12a35f03de56 · outbound

This paper cites Eisenberg and W.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Eisenberg and W

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:08.934840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 8d5324de-4135-4a75-95db-edf29f54f03f · outbound

This paper cites Glasstone.An introduction to Electrochemstry.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Glasstone.An introduction to Electrochemstry

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:08.801779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 070ae185-3761-4333-9294-3d80dc733c7e · outbound

This paper cites Gottlieb, C.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Gottlieb, C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:08.671348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation b7eef065-09d5-4c65-8e28-a92f1720197d · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:08.552576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation ffc0a8f3-2f7a-43ea-9ee7-39d4e1568f17 · outbound

This paper cites Hille.Ion channels of excitable membranes, volume 507.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Hille.Ion channels of excitable membranes, volume 507

Reference 12

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T12:46:08.420041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation c3171a83-ca54-4946-8041-b6f6d8b9cb74 · outbound

This paper cites Hu and X.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Hu and X

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:08.314730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 4e8d8fbf-fca7-4947-93b0-10ffc9a44f65 · outbound

This paper cites Jerome.Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Jerome.Analysis of Charge Transport: A Mathematical Study of Semiconductor Devices

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:08.193160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation ac32b60f-a4f9-4ab1-a496-ef7af10b7ca3 · outbound

This paper cites Jordan, D.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Jordan, D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:08.084439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation b4f70f0e-e8de-4866-99d3-29bcdccd78d5 · outbound

This paper cites Kinderlehrer, L.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Kinderlehrer, L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:07.794441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 6d4d6312-65e5-4814-8cf3-cf69e972f1c7 · outbound

This paper cites Li.Electrokinetics in Microfluidics.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Li.Electrokinetics in Microfluidics

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:07.637917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation d09eb878-f82f-4bde-86d8-3dafd2bbdca1 · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:07.496022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 80c5f6ef-5b5c-4661-835a-d1a7e2be8d80 · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:07.374786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 9c4fb417-5d41-48d6-b8af-9f0c16537a32 · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:07.266275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 8de6b3fa-194e-4a48-aab3-755e5f8f4331 · outbound

This paper cites Liu and W.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and W

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:07.149286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 1d12dec3-66b2-4945-b24b-830eb6a93b52 · outbound

This paper cites Liu and W.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and W

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:06.993167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 284d3723-ebdd-46e0-bdb7-ae38318ef1a3 · outbound

This paper cites Liu and W.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and W

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:06.836508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 16821184-7f92-4dca-a5c8-cdb5a2e8885c · outbound

This paper cites Liu and Z.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and Z

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:06.649085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 4be886b3-07a1-4591-93b0-d01605ead320 · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:06.517484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 51bb5df9-b466-4516-a8ee-58a3012484a8 · outbound

This paper cites Liu and J.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:06.333192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation fc3a3467-e22e-44b9-b11f-fcf9a2e02293 · outbound

This paper cites Liu and J.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:06.127092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 1f5ee013-ec10-483c-91e6-1b2c84564d4e · outbound

This paper cites Liu and H.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Liu and H

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:05.936260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation a63ddab3-cf7a-4921-ba8e-6b99005ef95e · outbound

This paper cites Markowich.The Stationary Semiconductor Device Equations.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Markowich.The Stationary Semiconductor Device Equations

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:05.747128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation e673a8e8-7bd0-4dd6-9ca7-88ea2ff0d780 · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:05.596319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation fd7cad26-f25b-4a19-b008-ebbb77eff490 · outbound

This paper cites Metti, J.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Metti, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:05.451592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 8ca155a4-5517-43e6-af66-0c973962e4f8 · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:05.262468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation f7f09ff6-3d4f-4b42-aa5b-6634d520a889 · outbound

This paper cites Shen and J.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Shen and J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:05.024341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 23a8ae58-3c94-4f40-bd17-5c4fab5318da · outbound

This paper cites Su and H.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Su and H

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:04.863999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation e78b41bf-f4b6-424c-a0e5-f6c1b70211be · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:04.671973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 65f798d8-a65a-42f9-8a50-98cff0b152d6 · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:04.470988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation c457907e-ba85-42f7-aba3-6f61601f7229 · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:04.299933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation ea579237-722a-488b-a416-86fbf3266f5f · outbound

This paper cites an unresolved cited work.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:46:04.054725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Observation 7494872c-30f9-46bc-ba65-916e699b8632 · outbound

This paper cites Zhang and C.-W.

A positivity-preserving hybrid DDG method for Poisson--Nernst--Planck systems Zhang and C.-W

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:46:03.886562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:31:55.24221+00:00.

Pith citing papers

No inbound Pith citation observations are available.